Complete convergence for arrays of ratios of order statistics-Reference-Cited by-同舟云学术

Complete convergence for arrays of ratios of order statistics

Published:2019-06-06 Issue:1 Volume:17 Page:439-451
ISSN:2391-5455
Container-title:Open Mathematics
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Author:

Miao Yu¹,Ma Huanhuan¹,Xu Shoufang²,Adler Andre³

Affiliation:

1. College of Mathematics and Information Science, Henan Normal University, Henan Province, 453007, China

2. Department of Statistics, School of Mathematics and Statistics, Xi’an Jiaotong University, Shanxi Province, 710049, China

3. Department of Applied Mathematics IIT, Chicago, 60616, USA

Abstract

Abstract Let {Xn,k, 1 ≤ k ≤ mn, n ≥ 1} be an array of independent random variables from the Pareto distribution. Let Xn(k) be the kth largest order statistic from the nth row of the array and set Rn,in,jn = Xn(jn)/Xn(in) where jn < in. The aim of this paper is to study the complete convergence of the ratios {Rn,in,jn, n ≥ 1}.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2019-0035/pdf

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